Suppose that A, B and C are the corner points of the thin triangular plate of constant density as show at right. a. Find the vector from C to the midpoint M of side AB. b. Find the vector from C to the point that lies two-thirds of the way from C to M on the median CM. Find the coordinates of the point in which the medians of A ABC intersect. You have just found the plate's center of mass. C.

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